Algebraic & Geometric Topology Volume 24, issue 2 (2024)

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Embedding calculus for surfaces

Manuel Krannich and Alexander Kupers

Algebraic & Geometric Topology 24 (2024) 981–1018

DOI: 10.2140/agt.2024.24.981

Bibliography

1	P Boavida de Brito, M Weiss, Manifold calculus and homotopy sheaves, Homology Homotopy Appl. 15 (2013) 361 MR3138384
2	P Boavida de Brito, M Weiss, Spaces of smooth embeddings and configuration categories, J. Topol. 11 (2018) 65 MR3784227
3	S K Boldsen, Different versions of mapping class groups of surfaces, preprint (2009) arXiv:0908.2221
4	J Cerf, Théorèmes de fibration des espaces de plongements : applications, from: "Séminaire Henri Cartan, 1962/1963", École Norm. Sup. (1964) MR0160230
5	D R J Chillingworth, Winding numbers on surfaces, I, Math. Ann. 196 (1972) 218 MR0300304
6	D R J Chillingworth, Winding numbers on surfaces, II, Math. Ann. 199 (1972) 131 MR0321091
7	W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR0584566
8	D B A Epstein, Curves on 2–manifolds and isotopies, Acta Math. 115 (1966) 83 MR0214087
9	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10	C D Feustel, Homotopic arcs are isotopic, Proc. Amer. Math. Soc. 17 (1966) 891 MR0196724
11	T G Goodwillie, J R Klein, Multiple disjunction for spaces of smooth embeddings, J. Topol. 8 (2015) 651 MR3394312
12	T G Goodwillie, M Weiss, Embeddings from the point of view of immersion theory, II, Geom. Topol. 3 (1999) 103 MR1694808
13	A Gramain, Le type d’homotopie du groupe des difféomorphismes d’une surface compacte, Ann. Sci. École Norm. Sup. 6 (1973) 53 MR0326773
14	A Hatcher, A short exposition of the Madsen–Weiss theorem, preprint (2011) arXiv:1103.5223
15	G Horel, Profinite completion of operads and the Grothendieck–Teichmüller group, Adv. Math. 321 (2017) 326 MR3715714
16	I Klang, A Kupers, J Miller, The May–Milgram filtration and ℰ_k–cells, Algebr. Geom. Topol. 21 (2021) 105 MR4224737
17	B Knudsen, A Kupers, Embedding calculus and smooth structures, Geom. Topol. 28 (2024) 353 MR4711838
18	M Krannich, A Kupers, The 𝒟isc–structure space, preprint (2022) arXiv:2205.01755
19	A Kupers, O Randal-Williams, The cohomology of Torelli groups is algebraic, Forum Math. Sigma 8 (2020) MR4190064
20	M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. Lond. Math. Soc. 82 (2001) 441 MR1806878
21	T Moriyama, The mapping class group action on the homology of the configuration spaces of surfaces, J. Lond. Math. Soc. 76 (2007) 451 MR2363426
22	E Riehl, Categorical homotopy theory, 24, Cambridge Univ. Press (2014) MR3221774
23	D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
24	S Smale, Diffeomorphisms of the 2–sphere, Proc. Amer. Math. Soc. 10 (1959) 621 MR0112149
25	R Trapp, A linear representation of the mapping class group ℳ and the theory of winding numbers, Topology Appl. 43 (1992) 47 MR1141372
26	V Turchin, Context-free manifold calculus and the Fulton–MacPherson operad, Algebr. Geom. Topol. 13 (2013) 1243 MR3071127
27	M Weiss, Embeddings from the point of view of immersion theory, I, Geom. Topol. 3 (1999) 67 MR1694812
28	M S Weiss, Homology of spaces of smooth embeddings, Q. J. Math. 55 (2004) 499 MR2104688
29	M Weiss, What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (2005) 185 MR2175298